I Just Want to Be a Quiet Top Student

With the development of the Yang-Mills theory, physicists are ambitiously trying to use the non-Abelian group gauge theory to unify the electromagnetic force, nuclear force and gravity, thus completing their long-awaited great unification.

However, in quantum mechanics, each particle can be regarded as a special type of wave, so the "massless" property has become the crux of the grand unified theory.

Experiments, computer simulations, and certain theoretical calculations have convinced physicists that, for vacuum excitation, there must be a "mass gap," the absence of massless particle waves.

The mass gap property also explains why the strong force works only over such short distances.

This is the source of "Yang-Mills theory and mass gap hypothesis", but so far no one has been able to obtain the general solution of the Yang-Mills equations to strictly prove the key property of "mass gap".

Today, Wednesday, is sunny, and Sebastian, a PhD student in Princeton's Department of Mathematics, claims to have solved the "Yang-Mills Theory and the Mass Gap Hypothesis."

Professor Witten smiled speechlessly, thinking it was funny.

Shen Qixin said, yes, even Professor Wei Teng can't solve the problem, but you, a doctoral student, can solve it? What an international joke.

"What mathematical problem best embodies the challenge to understanding quantum field theory?" Witten asked several Ph.D. candidates.

Sebastian replied: "Takes a central place in physics and represents the difficulty of QFT."

Shen Qi added: "And it is important in mathematics."

Witten nodded and said: "For me, an obvious problem with the above points is to prove that above the fourth power of Re, the quantum of a compact, simple non-Abelian Lie group G as gauge group The solvability of the Yang-Mills theory, and the correctness of the mass gap assumption."

"However, Sebastian, the pile of symbols you wrote on the blackboard represents only one of thousands of mathematical processing methods, and it does not play a single role in proving the mass gap hypothesis. But then again, after all, you made Work hard, I hope you can have a deeper understanding of QFT, QED, and QCD, and then challenge the quality gap hypothesis." Professor Witten criticized Sebastian for a few words, and then encouraged him.

Students' research results can be objectively and justly denied, but their academic enthusiasm cannot be destructively hit. How to balance the two is a skill that requires academic leaders to grasp their own scale.

QFT stands for Quantum Field Theory, QED stands for Quantum Electrodynamics, and QCD stands for Quantum Chromodynamics. The three Qs are quite difficult. Only with a deep understanding of the three Qs and super mathematical processing skills can it be solved "Yang-Mills Theory and the Quality Gap Hypothesis".

Solving the "Yang-Mills theory and the mass gap hypothesis", the grand unification of physics will be successful at the theoretical level. As for what kind of application breakthroughs it will bring, it is currently impossible to evaluate.

This is where the Millennium Dilemma of "Yang-Mills Theory and the Quality Gap Hypothesis" is so important.

Being criticized by Professor Witten, Sebastian felt frustrated, but he still raised his proud head: "I will continue to work hard, and within five years, the 'Yang-Mills Theory and Quality Gap Hypothesis' will be completely resolved, yes , I believe I can do it. Chris will work with me, he published a paper in the "Acta Mathematica" not long ago, if I am 'Yang', then Chris is 'Mills'."

"Happy to help you, Sebastian," Chris said.

Sebastian shook his head: "It's not me, it's us."

Every Wednesday, pretending to be B day, life is endless, pretending to be B does not stop.

Today's coercion was pretended by Sebastian and Chris, which gave Shen Qi a sense of urgency.

Although Sebastian's research results on the "Yang-Mills theory and the quality gap hypothesis" are full of loopholes, he has begun to try to attack this significant millennial problem, which requires courage.

Chris claimed that he was about to solve the Goldbach conjecture 1+1 problem, which is probably a big fool.

However, being able to publish a paper in the "Acta Mathematics", one of the four major, shows that Chris has a strong mathematical ability, at least he has started to overcome the 1+1 of Guess.

This is the case with basic theoretical research. In countless unconstrained and even absurd reveries, one may encounter the correct and charming answer at any one time.

Everyone around them is very hardworking and possesses ambition and aspirations. Shen Qi dare not underestimate Sebastian and Chris, maybe these two brothers will really hit their luck one day.

Before the famous scientists in history became famous, many of them were unknown. For example, Einstein, in the year when he published quantum theory, worked in a patent office in Bern, Switzerland, and was an ordinary technician who had just become a regular. A few years later, Einstein's 26-year-old year was called "Einstein's Miracle Year".

Sebastian and Chris went to another small table with coffee to continue communicating. Witten came to Shen Qi's table and asked, "Qi, what have you been up to lately?"

"Drafting a history of number theory, and preparing for a Ph.D. graduation defense." Shen Qi felt that today's force was not pretended, everyone guessed Yang-Mi equation and his brother, but his own research was unremarkable.

"Odd, among these doctoral students, you should be the first to get a PhD." Witten looked at Jonas, and at Sebastian and Chris not far away.

"I think so," Jonas said.

"Perhaps." Shen Qi said.

Witten asked: "What are your plans for work after graduation?"

Shen Qi smiled and said, "That depends on whether Princeton is willing to hire me."

Witten beckoned to Director Charles Fefferman who was on the sofa, and Director Fefferman came over and sat down.

Witten pointed to Shen Qi and said, "Charles, he needs a job in Princeton."

"Odd, then you have to start as a lecturer in the mathematics department." Fefferman said.

"Of course, I know the rules." Shen Qi, who is already a teaching assistant, knows the process well. The promotion of lecturers, associate professors, and professors requires time and performance. Yunwei and Tao Zhexuan, the youngest professors who broke the record, have all gone through the stage of lecturer and associate professor.

"To become a lecturer, you need to have the academic ability to teach alone. So strange, please tell me, which course do you have the strongest strength in?" Director Fefferman asked casually.

In many cases, the interviews before the appointment and removal of personnel in the Department of Mathematics are conducted during coffee time. It seems that the chat is nonsense, but in fact it is a hidden test.

Shen Qi replied: "Actually, what I have learned is very complicated. The ten papers published in the undergraduate stage involve differential calculus, integral calculus, series theory, linear algebra, homology algebra, Euler-Poisson equation and other fields, which can be classified into three categories. Branches of mathematics, namely mathematical analysis, algebra, methods of mathematical physics."

"During my study at Princeton, I published four papers, namely, the proof of the Walsh conjecture, two papers related to group theory, and the 'Muller-Sink theorem' in Bachna space, which in turn involved three branches, namely, number theory , abstract algebra, and functional analysis. There is also a paper on "Shen's Proximity Theorem" that is currently under review, and it also belongs to functional analysis in general."

"Last semester, I took a non-Euclidean geometry tutorial class for second-year students. Non-Euclidean geometry belongs to the branch of geometry. I did a good job in tutoring. The comprehensive scores of twelve students in non-Euclidean geometry were the highest in the same period in the second grade." Shen Qi's statement of objective facts can be regarded as an overview of professional expertise in the interview.

"So, Charles, Edward, I am also very distressed. The seven branches of mathematics listed above contain a total of 32 subdivided courses. I think I have the ability to teach independently." Shen Qi shook his head helplessly, miscellaneous He doesn't know who to choose among the thirty-two?

Director Fefferman fell into deep thought: "An all-round quasi-doctorate in mathematics like Qi is really rare. What do you think, Edward?"